311306013 has 24 divisors (see below), whose sum is σ = 475282080. Its totient is φ = 195804000.

The previous prime is 311306003. The next prime is 311306029. The reversal of 311306013 is 310603113.

311306013 is a `hidden beast` number, since 31 + 1 + 30 + 601 + 3 = 666.

It is not a de Polignac number, because 311306013 - 2¹² = 311301917 is a prime.

It is a super-2 number, since 2×311306013² = 193822867459912338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311306003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39295 + ... + 46547.

It is an arithmetic number, because the mean of its divisors is an integer number (19803420).

Almost surely, 2^311306013 is an apocalyptic number.

It is an amenable number.

311306013 is a deficient number, since it is larger than the sum of its proper divisors (163976067).

311306013 is a wasteful number, since it uses less digits than its factorization.

311306013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 311306013 is about 17643.8661579598. The cubic root of 311306013 is about 677.7390399362.

Adding to 311306013 its reverse (310603113), we get a palindrome (621909126).

The spelling of 311306013 in words is "three hundred eleven million, three hundred six thousand, thirteen".